Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785d |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
42000 |
Modular degree for the optimal curve |
Δ |
-2246680441062421875 = -1 · 310 · 57 · 73 · 175 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 2 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4759851,3999274382] |
[a1,a2,a3,a4,a6] |
Generators |
[1488:14458:1] |
Generators of the group modulo torsion |
j |
-11926249134908509075308544/2246680441062421875 |
j-invariant |
L |
2.0511751073936 |
L(r)(E,1)/r! |
Ω |
0.25189869743411 |
Real period |
R |
0.27142857139097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28560di1 114240ey1 5355n1 8925o1 |
Quadratic twists by: -4 8 -3 5 |